Let us first recall that the SIR model
was generalized in number of recent papers
and in various directions, such as:
1) using time-dependent parameters as
infectivity rates [1]}, [2]};
2) adding population compartments for different
stages of the disease
[3]};
3) increasing complexity with age-structure and spatial models [4]}, [5]}, [6]}, [7]}, [8]}, [9]};
4) using multiscale approaches and infinite dimensional systems [10]}, [11]}, [12]}.
The different type of models can be used
for some of the scopes discussed above
[13]}, [14]},
but the difficulty in tuning with data
and use for prediction is known since long time
[15]}.
